MINITAB ,SOLVE 2 QUESTIONS

? please download to full summary at attachment. firstly download requirements after make bid please. 1. A magnesium alloy is supposed to have a hardness of 860 megapascals. A sample of 15 specimens of this alloy is randomly selected and subjected to a series of Vickershardness tests. The results are stored in the le [login to view URL] in the course folder (usualplace) and in the Assignment section of Blackboard as well.(a)? Produce a boxplot and a histogram of the data. Which of the twodisplays do you think best illustrates the distribution of these observations?(b)A normal distribution is proposed as a model for the hardness of thesespecimens. Do the observed data support this model?(c) Using the data to estimate the mean and standard deviation of thenormal distribution, calculate the probability that a specimen of this alloy will have a hardness (i) less than 850 megapascals (ii) greater than 880 megapascals (iii) between 840 and 860 megapascals.(d)Calculate a 95% con dence interval for the mean hardness of the alloy,and hence test the hypothesis that the mean hardness is, indeed, equal to 860megapascals. Calculate a p-value for this test using MINITAB. 2. The number of supervisors and the number of supervised workers in 27 industrial establishmentsof varying size were recorded. We want to model the relationship betweenthe number of supervisors (the response) and the number of supervised workers (theexplanatory variable). The data are available in [login to view URL] in the Assignment section of Blackboard only; save the le rst and then use File ==> Open Worksheet in Minitab, the Options on Variable names and Field De nition do not need to be checked.(a)? Plot the data on a scatterplot (i) on the original scale, (ii) on the logscale(for both variables)..... be contunie